Elements of Geometry and TrigonometryReprint of the original, first published in 1857. |
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Page vi
... Sine , & c . , of an Arc or Angle , 274 To Find the Degrees , & c . , Answering to a Given Logarithmic Sine , & c . , 276 Theorems , .. 277 Solution of Triangles , .. 201 Solution of Right - Angled Triangles , - 287 Application to ...
... Sine , & c . , of an Arc or Angle , 274 To Find the Degrees , & c . , Answering to a Given Logarithmic Sine , & c . , 276 Theorems , .. 277 Solution of Triangles , .. 201 Solution of Right - Angled Triangles , - 287 Application to ...
Page vii
... Sine ,. ...... . Relations of Circular Functions ,. Table I. , of Formulas , ... Table II . , of Formulas ,. General Formulas , ............ Algebraic Signs of the Functions ,. Homogeneity of Terms , Formulas for Triangles ...
... Sine ,. ...... . Relations of Circular Functions ,. Table I. , of Formulas , ... Table II . , of Formulas ,. General Formulas , ............ Algebraic Signs of the Functions ,. Homogeneity of Terms , Formulas for Triangles ...
Page 272
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Page 273
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Page 274
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Contents
INTRODUCTION | 9 |
Propositions 81 | 18 |
BOOK II | 47 |
BOOK III | 57 |
Problems relating to the First and Third Books | 76 |
BOOK IV | 87 |
Problems relating to the Fourth Book | 122 |
BOOK VI | 156 |
PLANE TRIGONOMETRY | 255 |
Multiplication by Logarithms | 261 |
Problems | 267 |
Definitions of Trigonometrical Lines | 273 |
Solution of Triangles 201 | 287 |
SPHERICAL TRIGONOMETRY | 321 |
Napiers Analogies | 329 |
Of Quadrantal Triangles | 335 |
BOOK VII | 174 |
BOOK VIII | 202 |
BOOK IX | 227 |
APPENDIX | 245 |
MENSURATION OF SURFACES | 347 |
Area of a Regular Polygon | 353 |
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Common terms and phrases
adjacent altitude angle ACB angle BAD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equal altitudes equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallel parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar similar triangles sine slant height solidity sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM three angles triangle ABC triangular prism triedral angles vertex vertices